Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396g |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1275055573467194112 = 28 · 3 · 1112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1236660,526943496] |
[a1,a2,a3,a4,a6] |
Generators |
[994:16698:1] |
Generators of the group modulo torsion |
j |
461188987116496/2811467307 |
j-invariant |
L |
2.9718955579 |
L(r)(E,1)/r! |
Ω |
0.27360078007254 |
Real period |
R |
1.8103600661714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100188bl2 3036e2 |
Quadratic twists by: -3 -11 |